Question

Write the fraction 42/30 in simplest form

Answer 1

The answer is 7/5.

Explanation:

First you have to find the factors of 42 and 30 :

`42 = 1 * 42 \\ 42 = 2 * 21 \\ 42 = 3 * 14 \\ 42 = 6 * 7`

`30 = 1 * 30 \\ 30 = 2 * 15 \\ 30 = 3 * 10 \\ 30 = 5 * 6`

Given that the common factors of 42 and 30 are 1, 2, 3, 6. So you have to choose the highest factor which is 6. Next you can divide both by 6 :

`(42)/(30)`

`= (42 / 6)/(30 / 6)`

`= (7)/(5)`